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2011.10: Commuting Involution Graphs for 3-Dimensional Unitary Groups

2011.10: Alistaire Everett (2011) Commuting Involution Graphs for 3-Dimensional Unitary Groups.

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Abstract

For a group G and X a subset of G the commuting graph of G on X, denoted by C(G,X), is the graph whose vertex set is X with x, y in X joined by an edge if x =/= y and x and y commute. If the elements in X are involutions, then C(G,X) is called a commuting involution graph. This paper studies C(G,X) when G is a 3-dimensional projective special unitary group and X a G-conjugacy class of involutions, determining the diameters and structure of the discs of these graphs.

Item Type:MIMS Preprint
Uncontrolled Keywords:Unitary Groups; Involutions; Commuting Involution Graphs
Subjects:MSC 2000 > 20 Group theory and generalizations
MIMS number:2011.10
Deposited By:Mr Alistaire Everett
Deposited On:18 January 2011

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